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Finding the Fourth Proportional to 45.29, 68.30 and 42.77

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Solution

The fourth proportional to 45.29, 68.30 and 42.77 is: 64.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.29 : 68.30 = 42.77 : x
  2. Step 2: Convert to fraction form
    45.29/68.30 = 42.77/x
  3. Step 3: Cross multiply
    45.29x = 68.30 × 42.77
  4. Step 4: Simplify right side
    45.29x = 2,921.19
  5. Step 5: Solve for x
    x = 2,921.19/45.29
  6. Step 6: Final answer
    x = 64.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.